4
QuizMultiple Choice

Simulations to Estimate Probabilities

Question 4 • Common Core Math 7 - MA3107 CR

A restaurant owner has found that 80% of her customers return to the restaurant within two weeks. She wants to create a tool that will simulate the habits of her customers and allow her to predict the probability that three of the next four customers to visit her restaurant will return within two weeks.Which spinner simulation uses an appropriate device and has the correct number of trials?

Answer
A
a spinner divided into 5 congruent sectors, spun 3 times
B
a spinner divided into 5 congruent sectors, spun 4 times
C
a spinner divided into 2 congruent sectors, spun 3 times
D
a spinner divided into 2 congruent sectors, spun 4 times

Explanation

The spinner should model an 80% chance of returning, so 4 of its 5 congruent sectors should represent a customer who returns. Each spin represents one customer, and there are four next customers to simulate, so the spinner must be spun 4 times. Thus the correct choice is a spinner divided into 5 congruent sectors, spun 4 times.

AI-written and checked against the verified answer.

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